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Non-equivalence of ensembles in the ground state of a model with annealed bond impurities

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  • Mulder, B.M.

Abstract

We analyze a model, due to Kasai and Syozi, of annealed ferromagnetic bond impurities in an antiferromagnetic host. We show that on all bi-partite lattices the usual grand-canonical approach to treating the average over the impurity configurations leads to a different ground state than the one obtained in the fixed impurity concentration (canonical) ensemble. This difference is caused by a condensation/anti-condensation phenomenon that occurs when the system is in contact with an impurity bath at fixed chemical potential. This phenomenon is illustrated by a complete solution of the model on the Bethe lattice.

Suggested Citation

  • Mulder, B.M., 1991. "Non-equivalence of ensembles in the ground state of a model with annealed bond impurities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 174(2), pages 504-516.
    • Handle: RePEc:eee:phsmap:v:174:y:1991:i:2:p:504-516
    DOI: 10.1016/0378-4371(91)90345-D
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    1. Coutinho, Paulo C., 1987. "Contracting in intermediate markets," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 7(2), November.
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